Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 43 · 40 questions

The method (Round and inside): Rectangle: area = l × b, perimeter = 2 × (l + b). Square: area = side × side, perimeter = 4 × side. Triangle: area = ½ × base × height. Circle (π = 22/7): area = π × r × r, circumference = 2 × π × r. Path outside a garden: (l + 2w) × (b + 2w) − l × b.

1. 1.A garden is 10 m long and 5 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
2. 2.A park is 22 m long and 11 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
3. 3.A park is 15 m long and 14 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
4. 4.A garden is 20 m long and 6 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
5. 5.A rectangle has an area of 208 sq cm and a length of 26 cm. What is its perimeter (in cm)?
6. 6.A triangle has a base of 12 cm and a height of 4 cm. What is its area (in sq cm)?
7. 7.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
8. 8.A park is 47 m long and 26 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
9. 9.A garden is 34 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
10. 10.A park is 43 m long and 5 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
11. 11.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its perimeter (in cm)?
12. 12.A triangle has a base of 29 cm and a height of 12 cm. What is its area (in sq cm)?
13. 13.A garden is 10 m long and 8 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
14. 14.A rectangle has an area of 210 sq cm and a length of 35 cm. What is its perimeter (in cm)?
15. 15.A rectangular field is 20 m long and 13 m wide. What is its area (in sq m)?
16. 16.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
17. 17.A rectangular field is 8 m long and 6 m wide. What is its area (in sq m)?
18. 18.A park is 10 m long and 7 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
19. 19.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its perimeter (in cm)?
20. 20.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
21. 21.The perimeter of a square is 100 cm. What is its area (in sq cm)?
22. 22.A garden is 36 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
23. 23.A park is 48 m long and 32 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
24. 24.A park is 21 m long and 11 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
25. 25.The perimeter of a square is 40 cm. What is its area (in sq cm)?
26. 26.A triangle has a base of 14 cm and a height of 11 cm. What is its area (in sq cm)?
27. 27.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
28. 28.A rectangle has an area of 304 sq cm and a length of 19 cm. What is its perimeter (in cm)?
29. 29.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
30. 30.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
31. 31.The perimeter of a square is 92 cm. What is its area (in sq cm)?
32. 32.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its perimeter (in cm)?
33. 33.A rectangle has an area of 208 sq cm and a length of 16 cm. What is its perimeter (in cm)?
34. 34.A rectangular field is 32 m long and 6 m wide. What is its area (in sq m)?
35. 35.The perimeter of a square is 56 cm. What is its area (in sq cm)?
36. 36.A triangle has a base of 24 cm and a height of 14 cm. What is its area (in sq cm)?
37. 37.A rectangle has an area of 1092 sq cm and a length of 39 cm. What is its perimeter (in cm)?
38. 38.A rectangle has an area of 465 sq cm and a length of 31 cm. What is its perimeter (in cm)?
39. 39.A rectangular field is 28 m long and 12 m wide. What is its area (in sq m)?
40. 40.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).

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